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Abstract:

In this work we address the problem of power allocation for interfering transmitter-receiver pairs so
that the probability that each queue length exceeds a specified threshold is fixed at a desired value. One
application is satisfying QoS requirements in a dense cellular network. We deal with this problem using
heavy traffic approximation techniques which lead to an asymptotic model of a (controlled) stochastic
differential equation. The proposed power control strategy consists of allocating most of the power
according to the states of the channel and a smaller fraction according to the queue lengths, for which
we find a closed-form expression. A centralized scenario is considered, where all channel realizations and
queue lengths are known instantaneously to every transmitter. Then, the algorithm is extended to the case
where only local SINR feedback is available and when queue length information is shared with delays
among the transmitters. These models and results are also extended to the case where the transmitters
are equipped with multiple antennas. Finally, the applicability in practical system settings are discussed
and simulation results are provided to illustrate the performance of the proposed method.